What is the Least Common Multiple of 5270 and 5284?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5270 and 5284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5270 and 5284, than apply into the LCM equation.

GCF(5270,5284) = 2
LCM(5270,5284) = ( 5270 × 5284) / 2
LCM(5270,5284) = 27846680 / 2
LCM(5270,5284) = 13923340

Least Common Multiple (LCM) of 5270 and 5284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5284. First we will calculate the prime factors of 5270 and 5284.

Prime Factorization of 5270

Prime Factorization of 5284

Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5284.

LCM(5270,5284) = 2² × 5¹ × 17¹ × 31¹ × 1321¹
LCM(5270,5284) = 13923340